Elliptic curve isogeny class 441.1-j over number field \(\Q(\sqrt{11}) \)

• Base field: \(\Q(\sqrt{11}) \)
• Label: 2.2.44.1-441.1-j
• Conductor: 441.1
• Rank: \( 1 \)

Base field \(\Q(\sqrt{11}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 11 \); class number \(1\).

Elliptic curves in class 441.1-j over \(\Q(\sqrt{11}) \)

Isogeny class 441.1-j contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
441.1-j1	\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( -20794 a - 68965\) , \( -1822436 a - 6044337\bigr] \)
441.1-j2	\( \bigl[a\) , \( -a + 1\) , \( 1\) , \( 1115 a - 3700\) , \( 48950 a - 162349\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph